Central panel: full 2D luminosity function of our J0430 candidates as a function of r and Log(L_Lyα). Green solid lines in the top and right panels show the projections of the 2D LF along the Log(L_Lyα) and r axes, respectively. The red dashed lines show the projection of the 2D model along the same axes. This model was fitted to the 2D distribution shown in the central panel (see Appendix D for computational details) and allows us to extrapolate our data distribution at faint r and Lyα luminosity. We use the data-to-model ratio (in the r vs. Log(L_Lyα) 2D plane) to compute the weight of each candidate.